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Simplifying 12 + -16i + -24i + 32i = 0 Combine like terms: -16i + -24i = -40i 12 + -40i + 32i = 0 Combine like terms: -40i + 32i = -8i 12 + -8i = 0 Solving 12 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -8i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8i = 0 + -12 -8i = 0 + -12 Combine like terms: 0 + -12 = -12 -8i = -12 Divide each side by '-8'. i = 1.5 Simplifying i = 1.5
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